Properties of the Number 58005

Fifty-Eight Thousand Five

Basics

Value: 58004 → 58005 → 58006

Parity: odd

Prime: No

Previous Prime: 57991

Next Prime: 58013

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1289

Divisors: 1, 3, 5, 9, 15, 45, 1289, 3867, 6445, 11601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001010010101

Octal: 161225

Duodecimal: 29699

Hexadecimal: e295

Square: 3364580025

Square Root: 240.8422720371156

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of free pure achiral multifunctions with one atom and n positions. A317883

Number of nX5 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281053

Number of 7Xn 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281062

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281056

a(n) = gcd(2·n, binomial(2·n, n)). A58005